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</h2><h2>Option C</h2>
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Answer:
(f + g)(x) = 3x² + (7/3)x - 8
Step-by-step explanation:
To find (f + g)(x), you need to add both the f(x) and g(x) equations together.
f(x) = x/3 - 2 ..... which is equal to ... f(x) = (1/3)x - 2
g(x) = 3x² + 2x - 6
(f + g)(x) = ((1/3)x - 2) + (3x² + 2x - 6) <----- Add both equations
(f + g)(x) = 3x² + (1/3)x + 2x - 2 - 6 <----- Rearrange (2 = 6/3)
(f + g)(x) = 3x² + (7/3)x - 8 <----- Simplify similar terms
Answer:
The answer is 108 cm²
Step-by-step explanation:
First, you have to find the height of the parallrelogram using trogonometric formula, sinθ = oppo./hypo. :
oppo. = height
hypo. = 9 cm
θ = 59°
sin 59° = height/9
height = 9 sin 59°
= 7.715 cm (4s.f)
Given that the formula of area of parallelogram is, A = base×height. Then, you can substitute the value into the formula :
base = 14 cm
height = 7.715 cm
A = 14 × 7.715
= 108 cm² (3s.f)
Answer:
True
Step-by-step explanation:
I think i am correct dear
3x - 2y = 13
-2y = -3x + 13
y = 3/2x - 13/2...slope is 3/2, y int is -13/2
2x + 3y = -16
3y = -2x - 16
y = -2/3x - 16/3...slope = -2/3, y int is -16/3
perpendicular lines will have negative reciprocal slopes. To find the negative reciprocal of a number, flip the number and change the sign.
On the 1st equation, the slope was 3/2....find its negative reciprocal.....flip it, making it 2/3....change the sign...making it -2/3. So the negative reciprocal of 3/2 is -2/3.
So if one equation has a slope of 3/2 and another equation has a slope of -2/3, then these lines are perpendicular <==
